Talk:Taylor series: Difference between revisions

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imported>Derek Harkness
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|                  by = [[User:Derek Harkness|Derek Harkness]] 10:12, 8 June 2007 (CDT)
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I just changed what I'd inserted previously.  Part of it now says:
I just changed what I'd inserted previously.  Part of it now says:
:''So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of <math>f(x)</math> even if <math>x</math> and <math>a</math> are far apart.''
:''So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of <math>f(x)</math> even if <math>x</math> and <math>a</math> are far apart.''
I'm not sure this is worded quite correctly or clearly either.  I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --[[User:Catherine Woodgold|Catherine Woodgold]] 11:28, 5 May 2007 (CDT)
I'm not sure this is worded quite correctly or clearly either.  I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --[[User:Catherine Woodgold|Catherine Woodgold]] 11:28, 5 May 2007 (CDT)

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 Definition Representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. [d] [e]
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I just changed what I'd inserted previously. Part of it now says:

So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of even if and are far apart.

I'm not sure this is worded quite correctly or clearly either. I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --Catherine Woodgold 11:28, 5 May 2007 (CDT)